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Finding the Third Proportional to 115,682 and 169,875

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Solution

The third proportional to 115,682 and 169,875 is: 249,455.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,682 : 169,875 = 169,875 : x
  2. Step 2: Convert to fraction form
    115,682/169,875 = 169,875/x
  3. Step 3: Cross multiply
    115,682x = 169,875 × 169,875
  4. Step 4: Simplify right side
    115,682x = 28,857,515,625
  5. Step 5: Solve for x
    x = 28,857,515,625/115,682
  6. Step 6: Final answer
    x = 249,455.54

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.